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Finding the Third Proportional to 460,047.09 and 698,347.83

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Solution

The third proportional to 460,047.09 and 698,347.83 is: 1,060,086.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,047.09 : 698,347.83 = 698,347.83 : x
  2. Step 2: Convert to fraction form
    460,047.09/698,347.83 = 698,347.83/x
  3. Step 3: Cross multiply
    460,047.09x = 698,347.83 × 698,347.83
  4. Step 4: Simplify right side
    460,047.09x = 487,689,689,046.91
  5. Step 5: Solve for x
    x = 487,689,689,046.91/460,047.09
  6. Step 6: Final answer
    x = 1,060,086.45

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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.