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Finding the Third Proportional to 438,266.25 and 657,398.25

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Solution

The third proportional to 438,266.25 and 657,398.25 is: 986,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,266.25 : 657,398.25 = 657,398.25 : x
  2. Step 2: Convert to fraction form
    438,266.25/657,398.25 = 657,398.25/x
  3. Step 3: Cross multiply
    438,266.25x = 657,398.25 × 657,398.25
  4. Step 4: Simplify right side
    438,266.25x = 432,172,459,103.06
  5. Step 5: Solve for x
    x = 432,172,459,103.06/438,266.25
  6. Step 6: Final answer
    x = 986,095.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.