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Finding the Third Proportional to 668,980.25 and 953,641.38

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Solution

The third proportional to 668,980.25 and 953,641.38 is: 1,359,430.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,980.25 : 953,641.38 = 953,641.38 : x
  2. Step 2: Convert to fraction form
    668,980.25/953,641.38 = 953,641.38/x
  3. Step 3: Cross multiply
    668,980.25x = 953,641.38 × 953,641.38
  4. Step 4: Simplify right side
    668,980.25x = 909,431,872,111.89
  5. Step 5: Solve for x
    x = 909,431,872,111.89/668,980.25
  6. Step 6: Final answer
    x = 1,359,430.08

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.