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Finding the Third Proportional to 402,964 and 628,952

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Solution

The third proportional to 402,964 and 628,952 is: 981,677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,964 : 628,952 = 628,952 : x
  2. Step 2: Convert to fraction form
    402,964/628,952 = 628,952/x
  3. Step 3: Cross multiply
    402,964x = 628,952 × 628,952
  4. Step 4: Simplify right side
    402,964x = 395,580,618,304
  5. Step 5: Solve for x
    x = 395,580,618,304/402,964
  6. Step 6: Final answer
    x = 981,677.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.