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Finding the Third Proportional to 506,304 and 784,982

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Solution

The third proportional to 506,304 and 784,982 is: 1,217,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,304 : 784,982 = 784,982 : x
  2. Step 2: Convert to fraction form
    506,304/784,982 = 784,982/x
  3. Step 3: Cross multiply
    506,304x = 784,982 × 784,982
  4. Step 4: Simplify right side
    506,304x = 616,196,740,324
  5. Step 5: Solve for x
    x = 616,196,740,324/506,304
  6. Step 6: Final answer
    x = 1,217,048.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.