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Finding the Third Proportional to 316,252.50 and 677,703

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Solution

The third proportional to 316,252.50 and 677,703 is: 1,452,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,252.50 : 677,703 = 677,703 : x
  2. Step 2: Convert to fraction form
    316,252.50/677,703 = 677,703/x
  3. Step 3: Cross multiply
    316,252.50x = 677,703 × 677,703
  4. Step 4: Simplify right side
    316,252.50x = 459,281,356,209
  5. Step 5: Solve for x
    x = 459,281,356,209/316,252.50
  6. Step 6: Final answer
    x = 1,452,261.58

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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.