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Finding the Third Proportional to 460,058.63 and 698,365.13

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Solution

The third proportional to 460,058.63 and 698,365.13 is: 1,060,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,058.63 : 698,365.13 = 698,365.13 : x
  2. Step 2: Convert to fraction form
    460,058.63/698,365.13 = 698,365.13/x
  3. Step 3: Cross multiply
    460,058.63x = 698,365.13 × 698,365.13
  4. Step 4: Simplify right side
    460,058.63x = 487,713,847,816.27
  5. Step 5: Solve for x
    x = 487,713,847,816.27/460,058.63
  6. Step 6: Final answer
    x = 1,060,112.39

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