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Finding the Third Proportional to 526,347 and 816,493.50

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Solution

The third proportional to 526,347 and 816,493.50 is: 1,266,582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,347 : 816,493.50 = 816,493.50 : x
  2. Step 2: Convert to fraction form
    526,347/816,493.50 = 816,493.50/x
  3. Step 3: Cross multiply
    526,347x = 816,493.50 × 816,493.50
  4. Step 4: Simplify right side
    526,347x = 666,661,635,542.25
  5. Step 5: Solve for x
    x = 666,661,635,542.25/526,347
  6. Step 6: Final answer
    x = 1,266,582.00

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