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Finding the Third Proportional to 216,527 and 472,402

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Solution

The third proportional to 216,527 and 472,402 is: 1,030,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,527 : 472,402 = 472,402 : x
  2. Step 2: Convert to fraction form
    216,527/472,402 = 472,402/x
  3. Step 3: Cross multiply
    216,527x = 472,402 × 472,402
  4. Step 4: Simplify right side
    216,527x = 223,163,649,604
  5. Step 5: Solve for x
    x = 223,163,649,604/216,527
  6. Step 6: Final answer
    x = 1,030,650.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.