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Finding the Third Proportional to 316,224,306 and 472,476,415

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Solution

The third proportional to 316,224,306 and 472,476,415 is: 705,935,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,224,306 : 472,476,415 = 472,476,415 : x
  2. Step 2: Convert to fraction form
    316,224,306/472,476,415 = 472,476,415/x
  3. Step 3: Cross multiply
    316,224,306x = 472,476,415 × 472,476,415
  4. Step 4: Simplify right side
    316,224,306x = 223,233,962,731,252,224
  5. Step 5: Solve for x
    x = 223,233,962,731,252,224/316,224,306
  6. Step 6: Final answer
    x = 705,935,497.35

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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.