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Finding the Third Proportional to 430,849 and 657,937.50

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Solution

The third proportional to 430,849 and 657,937.50 is: 1,004,718.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,849 : 657,937.50 = 657,937.50 : x
  2. Step 2: Convert to fraction form
    430,849/657,937.50 = 657,937.50/x
  3. Step 3: Cross multiply
    430,849x = 657,937.50 × 657,937.50
  4. Step 4: Simplify right side
    430,849x = 432,881,753,906.25
  5. Step 5: Solve for x
    x = 432,881,753,906.25/430,849
  6. Step 6: Final answer
    x = 1,004,718.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.