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Finding the Third Proportional to 591,259.50 and 913,486

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Solution

The third proportional to 591,259.50 and 913,486 is: 1,411,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,259.50 : 913,486 = 913,486 : x
  2. Step 2: Convert to fraction form
    591,259.50/913,486 = 913,486/x
  3. Step 3: Cross multiply
    591,259.50x = 913,486 × 913,486
  4. Step 4: Simplify right side
    591,259.50x = 834,456,672,196
  5. Step 5: Solve for x
    x = 834,456,672,196/591,259.50
  6. Step 6: Final answer
    x = 1,411,320.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.