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Finding the Third Proportional to 464,389.88 and 708,596.12

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Solution

The third proportional to 464,389.88 and 708,596.12 is: 1,081,221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,389.88 : 708,596.12 = 708,596.12 : x
  2. Step 2: Convert to fraction form
    464,389.88/708,596.12 = 708,596.12/x
  3. Step 3: Cross multiply
    464,389.88x = 708,596.12 × 708,596.12
  4. Step 4: Simplify right side
    464,389.88x = 502,108,462,829.12
  5. Step 5: Solve for x
    x = 502,108,462,829.12/464,389.88
  6. Step 6: Final answer
    x = 1,081,221.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.