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Finding the Third Proportional to 216,352 and 473,424

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Solution

The third proportional to 216,352 and 473,424 is: 1,035,951.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,352 : 473,424 = 473,424 : x
  2. Step 2: Convert to fraction form
    216,352/473,424 = 473,424/x
  3. Step 3: Cross multiply
    216,352x = 473,424 × 473,424
  4. Step 4: Simplify right side
    216,352x = 224,130,283,776
  5. Step 5: Solve for x
    x = 224,130,283,776/216,352
  6. Step 6: Final answer
    x = 1,035,951.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.