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Finding the Third Proportional to 295,460.50 and 432,708.50

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Solution

The third proportional to 295,460.50 and 432,708.50 is: 633,711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,460.50 : 432,708.50 = 432,708.50 : x
  2. Step 2: Convert to fraction form
    295,460.50/432,708.50 = 432,708.50/x
  3. Step 3: Cross multiply
    295,460.50x = 432,708.50 × 432,708.50
  4. Step 4: Simplify right side
    295,460.50x = 187,236,645,972.25
  5. Step 5: Solve for x
    x = 187,236,645,972.25/295,460.50
  6. Step 6: Final answer
    x = 633,711.26

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.