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Finding the Third Proportional to 295,206 and 647,152.50

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Solution

The third proportional to 295,206 and 647,152.50 is: 1,418,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,206 : 647,152.50 = 647,152.50 : x
  2. Step 2: Convert to fraction form
    295,206/647,152.50 = 647,152.50/x
  3. Step 3: Cross multiply
    295,206x = 647,152.50 × 647,152.50
  4. Step 4: Simplify right side
    295,206x = 418,806,358,256.25
  5. Step 5: Solve for x
    x = 418,806,358,256.25/295,206
  6. Step 6: Final answer
    x = 1,418,691.89

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