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Finding the Third Proportional to 316,664 and 473,415

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Solution

The third proportional to 316,664 and 473,415 is: 707,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,664 : 473,415 = 473,415 : x
  2. Step 2: Convert to fraction form
    316,664/473,415 = 473,415/x
  3. Step 3: Cross multiply
    316,664x = 473,415 × 473,415
  4. Step 4: Simplify right side
    316,664x = 224,121,762,225
  5. Step 5: Solve for x
    x = 224,121,762,225/316,664
  6. Step 6: Final answer
    x = 707,758.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.