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Finding the Third Proportional to 316,850 and 704,541

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Solution

The third proportional to 316,850 and 704,541 is: 1,566,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,850 : 704,541 = 704,541 : x
  2. Step 2: Convert to fraction form
    316,850/704,541 = 704,541/x
  3. Step 3: Cross multiply
    316,850x = 704,541 × 704,541
  4. Step 4: Simplify right side
    316,850x = 496,378,020,681
  5. Step 5: Solve for x
    x = 496,378,020,681/316,850
  6. Step 6: Final answer
    x = 1,566,602.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.