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Finding the Third Proportional to 488,065.50 and 750,652.31

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Solution

The third proportional to 488,065.50 and 750,652.31 is: 1,154,514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,065.50 : 750,652.31 = 750,652.31 : x
  2. Step 2: Convert to fraction form
    488,065.50/750,652.31 = 750,652.31/x
  3. Step 3: Cross multiply
    488,065.50x = 750,652.31 × 750,652.31
  4. Step 4: Simplify right side
    488,065.50x = 563,478,894,261.60
  5. Step 5: Solve for x
    x = 563,478,894,261.60/488,065.50
  6. Step 6: Final answer
    x = 1,154,514.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.