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Finding the Third Proportional to 495,513 and 731,605.50

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Solution

The third proportional to 495,513 and 731,605.50 is: 1,080,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,513 : 731,605.50 = 731,605.50 : x
  2. Step 2: Convert to fraction form
    495,513/731,605.50 = 731,605.50/x
  3. Step 3: Cross multiply
    495,513x = 731,605.50 × 731,605.50
  4. Step 4: Simplify right side
    495,513x = 535,246,607,630.25
  5. Step 5: Solve for x
    x = 535,246,607,630.25/495,513
  6. Step 6: Final answer
    x = 1,080,186.81

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.