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Finding the Third Proportional to 464,196 and 626,310

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Solution

The third proportional to 464,196 and 626,310 is: 845,040.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,196 : 626,310 = 626,310 : x
  2. Step 2: Convert to fraction form
    464,196/626,310 = 626,310/x
  3. Step 3: Cross multiply
    464,196x = 626,310 × 626,310
  4. Step 4: Simplify right side
    464,196x = 392,264,216,100
  5. Step 5: Solve for x
    x = 392,264,216,100/464,196
  6. Step 6: Final answer
    x = 845,040.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.