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Finding the Third Proportional to 495,090 and 743,730

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Solution

The third proportional to 495,090 and 743,730 is: 1,117,239.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,090 : 743,730 = 743,730 : x
  2. Step 2: Convert to fraction form
    495,090/743,730 = 743,730/x
  3. Step 3: Cross multiply
    495,090x = 743,730 × 743,730
  4. Step 4: Simplify right side
    495,090x = 553,134,312,900
  5. Step 5: Solve for x
    x = 553,134,312,900/495,090
  6. Step 6: Final answer
    x = 1,117,239.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.