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Finding the Third Proportional to 495,702 and 787,954.50

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Solution

The third proportional to 495,702 and 787,954.50 is: 1,252,511.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,702 : 787,954.50 = 787,954.50 : x
  2. Step 2: Convert to fraction form
    495,702/787,954.50 = 787,954.50/x
  3. Step 3: Cross multiply
    495,702x = 787,954.50 × 787,954.50
  4. Step 4: Simplify right side
    495,702x = 620,872,294,070.25
  5. Step 5: Solve for x
    x = 620,872,294,070.25/495,702
  6. Step 6: Final answer
    x = 1,252,511.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.