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Finding the Third Proportional to 464,392 and 708,599

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Solution

The third proportional to 464,392 and 708,599 is: 1,081,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,392 : 708,599 = 708,599 : x
  2. Step 2: Convert to fraction form
    464,392/708,599 = 708,599/x
  3. Step 3: Cross multiply
    464,392x = 708,599 × 708,599
  4. Step 4: Simplify right side
    464,392x = 502,112,542,801
  5. Step 5: Solve for x
    x = 502,112,542,801/464,392
  6. Step 6: Final answer
    x = 1,081,225.65

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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.