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Finding the Third Proportional to 415,803 and 632,452.50

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Solution

The third proportional to 415,803 and 632,452.50 is: 961,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,803 : 632,452.50 = 632,452.50 : x
  2. Step 2: Convert to fraction form
    415,803/632,452.50 = 632,452.50/x
  3. Step 3: Cross multiply
    415,803x = 632,452.50 × 632,452.50
  4. Step 4: Simplify right side
    415,803x = 399,996,164,756.25
  5. Step 5: Solve for x
    x = 399,996,164,756.25/415,803
  6. Step 6: Final answer
    x = 961,984.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.