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Finding the Third Proportional to 338,724 and 497,952

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Solution

The third proportional to 338,724 and 497,952 is: 732,030.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,724 : 497,952 = 497,952 : x
  2. Step 2: Convert to fraction form
    338,724/497,952 = 497,952/x
  3. Step 3: Cross multiply
    338,724x = 497,952 × 497,952
  4. Step 4: Simplify right side
    338,724x = 247,956,194,304
  5. Step 5: Solve for x
    x = 247,956,194,304/338,724
  6. Step 6: Final answer
    x = 732,030.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.