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Finding the Third Proportional to 292,740.19 and 452,404.69

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Solution

The third proportional to 292,740.19 and 452,404.69 is: 699,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,740.19 : 452,404.69 = 452,404.69 : x
  2. Step 2: Convert to fraction form
    292,740.19/452,404.69 = 452,404.69/x
  3. Step 3: Cross multiply
    292,740.19x = 452,404.69 × 452,404.69
  4. Step 4: Simplify right side
    292,740.19x = 204,670,001,271.97
  5. Step 5: Solve for x
    x = 204,670,001,271.97/292,740.19
  6. Step 6: Final answer
    x = 699,152.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.