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Finding the Third Proportional to 495,243 and 787,792

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Solution

The third proportional to 495,243 and 787,792 is: 1,253,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,243 : 787,792 = 787,792 : x
  2. Step 2: Convert to fraction form
    495,243/787,792 = 787,792/x
  3. Step 3: Cross multiply
    495,243x = 787,792 × 787,792
  4. Step 4: Simplify right side
    495,243x = 620,616,235,264
  5. Step 5: Solve for x
    x = 620,616,235,264/495,243
  6. Step 6: Final answer
    x = 1,253,154.99

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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.