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Finding the Third Proportional to 342,957 and 752,316

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Solution

The third proportional to 342,957 and 752,316 is: 1,650,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,957 : 752,316 = 752,316 : x
  2. Step 2: Convert to fraction form
    342,957/752,316 = 752,316/x
  3. Step 3: Cross multiply
    342,957x = 752,316 × 752,316
  4. Step 4: Simplify right side
    342,957x = 565,979,363,856
  5. Step 5: Solve for x
    x = 565,979,363,856/342,957
  6. Step 6: Final answer
    x = 1,650,292.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.