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Finding the Third Proportional to 369,690 and 756,897

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Solution

The third proportional to 369,690 and 756,897 is: 1,549,658.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,690 : 756,897 = 756,897 : x
  2. Step 2: Convert to fraction form
    369,690/756,897 = 756,897/x
  3. Step 3: Cross multiply
    369,690x = 756,897 × 756,897
  4. Step 4: Simplify right side
    369,690x = 572,893,068,609
  5. Step 5: Solve for x
    x = 572,893,068,609/369,690
  6. Step 6: Final answer
    x = 1,549,658.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.