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Finding the Third Proportional to 473,609 and 749,861

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Solution

The third proportional to 473,609 and 749,861 is: 1,187,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,609 : 749,861 = 749,861 : x
  2. Step 2: Convert to fraction form
    473,609/749,861 = 749,861/x
  3. Step 3: Cross multiply
    473,609x = 749,861 × 749,861
  4. Step 4: Simplify right side
    473,609x = 562,291,519,321
  5. Step 5: Solve for x
    x = 562,291,519,321/473,609
  6. Step 6: Final answer
    x = 1,187,248.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.