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Finding the Third Proportional to 298,656 and 462,429

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Solution

The third proportional to 298,656 and 462,429 is: 716,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,656 : 462,429 = 462,429 : x
  2. Step 2: Convert to fraction form
    298,656/462,429 = 462,429/x
  3. Step 3: Cross multiply
    298,656x = 462,429 × 462,429
  4. Step 4: Simplify right side
    298,656x = 213,840,580,041
  5. Step 5: Solve for x
    x = 213,840,580,041/298,656
  6. Step 6: Final answer
    x = 716,009.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.