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Finding the Third Proportional to 415,207,316.25 and 584,040,496.50

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Solution

The third proportional to 415,207,316.25 and 584,040,496.50 is: 821,525,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,207,316.25 : 584,040,496.50 = 584,040,496.50 : x
  2. Step 2: Convert to fraction form
    415,207,316.25/584,040,496.50 = 584,040,496.50/x
  3. Step 3: Cross multiply
    415,207,316.25x = 584,040,496.50 × 584,040,496.50
  4. Step 4: Simplify right side
    415,207,316.25x = 341,103,301,551,966,528
  5. Step 5: Solve for x
    x = 341,103,301,551,966,528/415,207,316.25
  6. Step 6: Final answer
    x = 821,525,267.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.