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Finding the Third Proportional to 491,445 and 660,829.50

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Solution

The third proportional to 491,445 and 660,829.50 is: 888,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,445 : 660,829.50 = 660,829.50 : x
  2. Step 2: Convert to fraction form
    491,445/660,829.50 = 660,829.50/x
  3. Step 3: Cross multiply
    491,445x = 660,829.50 × 660,829.50
  4. Step 4: Simplify right side
    491,445x = 436,695,628,070.25
  5. Step 5: Solve for x
    x = 436,695,628,070.25/491,445
  6. Step 6: Final answer
    x = 888,595.12

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.