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Finding the Third Proportional to 316,224,304 and 472,476,412

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Solution

The third proportional to 316,224,304 and 472,476,412 is: 705,935,492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,224,304 : 472,476,412 = 472,476,412 : x
  2. Step 2: Convert to fraction form
    316,224,304/472,476,412 = 472,476,412/x
  3. Step 3: Cross multiply
    316,224,304x = 472,476,412 × 472,476,412
  4. Step 4: Simplify right side
    316,224,304x = 223,233,959,896,393,728
  5. Step 5: Solve for x
    x = 223,233,959,896,393,728/316,224,304
  6. Step 6: Final answer
    x = 705,935,492.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.