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Finding the Third Proportional to 314,700 and 474,663

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Solution

The third proportional to 314,700 and 474,663 is: 715,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,700 : 474,663 = 474,663 : x
  2. Step 2: Convert to fraction form
    314,700/474,663 = 474,663/x
  3. Step 3: Cross multiply
    314,700x = 474,663 × 474,663
  4. Step 4: Simplify right side
    314,700x = 225,304,963,569
  5. Step 5: Solve for x
    x = 225,304,963,569/314,700
  6. Step 6: Final answer
    x = 715,935.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.