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Finding the Third Proportional to 460,065 and 698,374.50

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Solution

The third proportional to 460,065 and 698,374.50 is: 1,060,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,065 : 698,374.50 = 698,374.50 : x
  2. Step 2: Convert to fraction form
    460,065/698,374.50 = 698,374.50/x
  3. Step 3: Cross multiply
    460,065x = 698,374.50 × 698,374.50
  4. Step 4: Simplify right side
    460,065x = 487,726,942,250.25
  5. Step 5: Solve for x
    x = 487,726,942,250.25/460,065
  6. Step 6: Final answer
    x = 1,060,126.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.