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Finding the Third Proportional to 480,898.50 and 750,462.25

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Solution

The third proportional to 480,898.50 and 750,462.25 is: 1,171,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,898.50 : 750,462.25 = 750,462.25 : x
  2. Step 2: Convert to fraction form
    480,898.50/750,462.25 = 750,462.25/x
  3. Step 3: Cross multiply
    480,898.50x = 750,462.25 × 750,462.25
  4. Step 4: Simplify right side
    480,898.50x = 563,193,588,675.06
  5. Step 5: Solve for x
    x = 563,193,588,675.06/480,898.50
  6. Step 6: Final answer
    x = 1,171,127.77

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.