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Finding the Third Proportional to 216,340.50 and 473,464

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Solution

The third proportional to 216,340.50 and 473,464 is: 1,036,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,340.50 : 473,464 = 473,464 : x
  2. Step 2: Convert to fraction form
    216,340.50/473,464 = 473,464/x
  3. Step 3: Cross multiply
    216,340.50x = 473,464 × 473,464
  4. Step 4: Simplify right side
    216,340.50x = 224,168,159,296
  5. Step 5: Solve for x
    x = 224,168,159,296/216,340.50
  6. Step 6: Final answer
    x = 1,036,182.13

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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.