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Finding the Third Proportional to 328,920.75 and 708,598.13

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Solution

The third proportional to 328,920.75 and 708,598.13 is: 1,526,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,920.75 : 708,598.13 = 708,598.13 : x
  2. Step 2: Convert to fraction form
    328,920.75/708,598.13 = 708,598.13/x
  3. Step 3: Cross multiply
    328,920.75x = 708,598.13 × 708,598.13
  4. Step 4: Simplify right side
    328,920.75x = 502,111,302,753.52
  5. Step 5: Solve for x
    x = 502,111,302,753.52/328,920.75
  6. Step 6: Final answer
    x = 1,526,541.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.