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Finding the Third Proportional to 491,410 and 720,779.50

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Solution

The third proportional to 491,410 and 720,779.50 is: 1,057,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,410 : 720,779.50 = 720,779.50 : x
  2. Step 2: Convert to fraction form
    491,410/720,779.50 = 720,779.50/x
  3. Step 3: Cross multiply
    491,410x = 720,779.50 × 720,779.50
  4. Step 4: Simplify right side
    491,410x = 519,523,087,620.25
  5. Step 5: Solve for x
    x = 519,523,087,620.25/491,410
  6. Step 6: Final answer
    x = 1,057,209.03

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.