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Finding the Third Proportional to 559,875 and 754,276.50

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Solution

The third proportional to 559,875 and 754,276.50 is: 1,016,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,875 : 754,276.50 = 754,276.50 : x
  2. Step 2: Convert to fraction form
    559,875/754,276.50 = 754,276.50/x
  3. Step 3: Cross multiply
    559,875x = 754,276.50 × 754,276.50
  4. Step 4: Simplify right side
    559,875x = 568,933,038,452.25
  5. Step 5: Solve for x
    x = 568,933,038,452.25/559,875
  6. Step 6: Final answer
    x = 1,016,178.68

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.