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Finding the Third Proportional to 299,946 and 708,068

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Solution

The third proportional to 299,946 and 708,068 is: 1,671,501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,946 : 708,068 = 708,068 : x
  2. Step 2: Convert to fraction form
    299,946/708,068 = 708,068/x
  3. Step 3: Cross multiply
    299,946x = 708,068 × 708,068
  4. Step 4: Simplify right side
    299,946x = 501,360,292,624
  5. Step 5: Solve for x
    x = 501,360,292,624/299,946
  6. Step 6: Final answer
    x = 1,671,501.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.