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Finding the Third Proportional to 338,692 and 724,076

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Solution

The third proportional to 338,692 and 724,076 is: 1,547,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,692 : 724,076 = 724,076 : x
  2. Step 2: Convert to fraction form
    338,692/724,076 = 724,076/x
  3. Step 3: Cross multiply
    338,692x = 724,076 × 724,076
  4. Step 4: Simplify right side
    338,692x = 524,286,053,776
  5. Step 5: Solve for x
    x = 524,286,053,776/338,692
  6. Step 6: Final answer
    x = 1,547,972.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.