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Finding the Third Proportional to 467,060 and 698,158.50

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Solution

The third proportional to 467,060 and 698,158.50 is: 1,043,603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,060 : 698,158.50 = 698,158.50 : x
  2. Step 2: Convert to fraction form
    467,060/698,158.50 = 698,158.50/x
  3. Step 3: Cross multiply
    467,060x = 698,158.50 × 698,158.50
  4. Step 4: Simplify right side
    467,060x = 487,425,291,122.25
  5. Step 5: Solve for x
    x = 487,425,291,122.25/467,060
  6. Step 6: Final answer
    x = 1,043,603.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.