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Finding the Third Proportional to 660,445.50 and 1,020,434.25

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Solution

The third proportional to 660,445.50 and 1,020,434.25 is: 1,576,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,445.50 : 1,020,434.25 = 1,020,434.25 : x
  2. Step 2: Convert to fraction form
    660,445.50/1,020,434.25 = 1,020,434.25/x
  3. Step 3: Cross multiply
    660,445.50x = 1,020,434.25 × 1,020,434.25
  4. Step 4: Simplify right side
    660,445.50x = 1,041,286,058,573.06
  5. Step 5: Solve for x
    x = 1,041,286,058,573.06/660,445.50
  6. Step 6: Final answer
    x = 1,576,641.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.