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Finding the Third Proportional to 415,454 and 678,332

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Solution

The third proportional to 415,454 and 678,332 is: 1,107,545.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,454 : 678,332 = 678,332 : x
  2. Step 2: Convert to fraction form
    415,454/678,332 = 678,332/x
  3. Step 3: Cross multiply
    415,454x = 678,332 × 678,332
  4. Step 4: Simplify right side
    415,454x = 460,134,302,224
  5. Step 5: Solve for x
    x = 460,134,302,224/415,454
  6. Step 6: Final answer
    x = 1,107,545.73

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.