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Finding the Third Proportional to 495,909 and 736,573.50

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Solution

The third proportional to 495,909 and 736,573.50 is: 1,094,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,909 : 736,573.50 = 736,573.50 : x
  2. Step 2: Convert to fraction form
    495,909/736,573.50 = 736,573.50/x
  3. Step 3: Cross multiply
    495,909x = 736,573.50 × 736,573.50
  4. Step 4: Simplify right side
    495,909x = 542,540,520,902.25
  5. Step 5: Solve for x
    x = 542,540,520,902.25/495,909
  6. Step 6: Final answer
    x = 1,094,032.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.