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Finding the Third Proportional to 570,213 and 797,191.50

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Solution

The third proportional to 570,213 and 797,191.50 is: 1,114,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,213 : 797,191.50 = 797,191.50 : x
  2. Step 2: Convert to fraction form
    570,213/797,191.50 = 797,191.50/x
  3. Step 3: Cross multiply
    570,213x = 797,191.50 × 797,191.50
  4. Step 4: Simplify right side
    570,213x = 635,514,287,672.25
  5. Step 5: Solve for x
    x = 635,514,287,672.25/570,213
  6. Step 6: Final answer
    x = 1,114,520.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.