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Finding the Third Proportional to 473,656 and 749,931

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Solution

The third proportional to 473,656 and 749,931 is: 1,187,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,656 : 749,931 = 749,931 : x
  2. Step 2: Convert to fraction form
    473,656/749,931 = 749,931/x
  3. Step 3: Cross multiply
    473,656x = 749,931 × 749,931
  4. Step 4: Simplify right side
    473,656x = 562,396,504,761
  5. Step 5: Solve for x
    x = 562,396,504,761/473,656
  6. Step 6: Final answer
    x = 1,187,352.22

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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.