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Finding the Third Proportional to 658,309.78 and 1,032,953.13

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Solution

The third proportional to 658,309.78 and 1,032,953.13 is: 1,620,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,309.78 : 1,032,953.13 = 1,032,953.13 : x
  2. Step 2: Convert to fraction form
    658,309.78/1,032,953.13 = 1,032,953.13/x
  3. Step 3: Cross multiply
    658,309.78x = 1,032,953.13 × 1,032,953.13
  4. Step 4: Simplify right side
    658,309.78x = 1,066,992,174,587.16
  5. Step 5: Solve for x
    x = 1,066,992,174,587.16/658,309.78
  6. Step 6: Final answer
    x = 1,620,805.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.