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Finding the Third Proportional to 337,048.31 and 715,649.63

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Solution

The third proportional to 337,048.31 and 715,649.63 is: 1,519,528.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,048.31 : 715,649.63 = 715,649.63 : x
  2. Step 2: Convert to fraction form
    337,048.31/715,649.63 = 715,649.63/x
  3. Step 3: Cross multiply
    337,048.31x = 715,649.63 × 715,649.63
  4. Step 4: Simplify right side
    337,048.31x = 512,154,385,762.64
  5. Step 5: Solve for x
    x = 512,154,385,762.64/337,048.31
  6. Step 6: Final answer
    x = 1,519,528.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.