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Finding the Third Proportional to 657,072.50 and 960,663.50

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Solution

The third proportional to 657,072.50 and 960,663.50 is: 1,404,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,072.50 : 960,663.50 = 960,663.50 : x
  2. Step 2: Convert to fraction form
    657,072.50/960,663.50 = 960,663.50/x
  3. Step 3: Cross multiply
    657,072.50x = 960,663.50 × 960,663.50
  4. Step 4: Simplify right side
    657,072.50x = 922,874,360,232.25
  5. Step 5: Solve for x
    x = 922,874,360,232.25/657,072.50
  6. Step 6: Final answer
    x = 1,404,524.40

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Why These Related Problems?

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