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Finding the Third Proportional to 464,398 and 708,608

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Solution

The third proportional to 464,398 and 708,608 is: 1,081,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,398 : 708,608 = 708,608 : x
  2. Step 2: Convert to fraction form
    464,398/708,608 = 708,608/x
  3. Step 3: Cross multiply
    464,398x = 708,608 × 708,608
  4. Step 4: Simplify right side
    464,398x = 502,125,297,664
  5. Step 5: Solve for x
    x = 502,125,297,664/464,398
  6. Step 6: Final answer
    x = 1,081,239.15

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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.