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Finding the Third Proportional to 415,730 and 669,535

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Solution

The third proportional to 415,730 and 669,535 is: 1,078,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,730 : 669,535 = 669,535 : x
  2. Step 2: Convert to fraction form
    415,730/669,535 = 669,535/x
  3. Step 3: Cross multiply
    415,730x = 669,535 × 669,535
  4. Step 4: Simplify right side
    415,730x = 448,277,116,225
  5. Step 5: Solve for x
    x = 448,277,116,225/415,730
  6. Step 6: Final answer
    x = 1,078,289.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.