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Finding the Third Proportional to 229,543 and 499,735

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Solution

The third proportional to 229,543 and 499,735 is: 1,087,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,543 : 499,735 = 499,735 : x
  2. Step 2: Convert to fraction form
    229,543/499,735 = 499,735/x
  3. Step 3: Cross multiply
    229,543x = 499,735 × 499,735
  4. Step 4: Simplify right side
    229,543x = 249,735,070,225
  5. Step 5: Solve for x
    x = 249,735,070,225/229,543
  6. Step 6: Final answer
    x = 1,087,966.40

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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.