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Finding the Third Proportional to 657,072 and 960,662.50

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Solution

The third proportional to 657,072 and 960,662.50 is: 1,404,522.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,072 : 960,662.50 = 960,662.50 : x
  2. Step 2: Convert to fraction form
    657,072/960,662.50 = 960,662.50/x
  3. Step 3: Cross multiply
    657,072x = 960,662.50 × 960,662.50
  4. Step 4: Simplify right side
    657,072x = 922,872,438,906.25
  5. Step 5: Solve for x
    x = 922,872,438,906.25/657,072
  6. Step 6: Final answer
    x = 1,404,522.55

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.