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Finding the Third Proportional to 460,062 and 698,368.50

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Solution

The third proportional to 460,062 and 698,368.50 is: 1,060,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,062 : 698,368.50 = 698,368.50 : x
  2. Step 2: Convert to fraction form
    460,062/698,368.50 = 698,368.50/x
  3. Step 3: Cross multiply
    460,062x = 698,368.50 × 698,368.50
  4. Step 4: Simplify right side
    460,062x = 487,718,561,792.25
  5. Step 5: Solve for x
    x = 487,718,561,792.25/460,062
  6. Step 6: Final answer
    x = 1,060,114.86

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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.