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Finding the Third Proportional to 233,332 and 499,712

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Solution

The third proportional to 233,332 and 499,712 is: 1,070,200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,332 : 499,712 = 499,712 : x
  2. Step 2: Convert to fraction form
    233,332/499,712 = 499,712/x
  3. Step 3: Cross multiply
    233,332x = 499,712 × 499,712
  4. Step 4: Simplify right side
    233,332x = 249,712,082,944
  5. Step 5: Solve for x
    x = 249,712,082,944/233,332
  6. Step 6: Final answer
    x = 1,070,200.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.