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Finding the Third Proportional to 432,495 and 928,921.50

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Solution

The third proportional to 432,495 and 928,921.50 is: 1,995,156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,495 : 928,921.50 = 928,921.50 : x
  2. Step 2: Convert to fraction form
    432,495/928,921.50 = 928,921.50/x
  3. Step 3: Cross multiply
    432,495x = 928,921.50 × 928,921.50
  4. Step 4: Simplify right side
    432,495x = 862,895,153,162.25
  5. Step 5: Solve for x
    x = 862,895,153,162.25/432,495
  6. Step 6: Final answer
    x = 1,995,156.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.