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Finding the Third Proportional to 295,123.50 and 646,987.50

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Solution

The third proportional to 295,123.50 and 646,987.50 is: 1,418,364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,123.50 : 646,987.50 = 646,987.50 : x
  2. Step 2: Convert to fraction form
    295,123.50/646,987.50 = 646,987.50/x
  3. Step 3: Cross multiply
    295,123.50x = 646,987.50 × 646,987.50
  4. Step 4: Simplify right side
    295,123.50x = 418,592,825,156.25
  5. Step 5: Solve for x
    x = 418,592,825,156.25/295,123.50
  6. Step 6: Final answer
    x = 1,418,364.94

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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.