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Finding the Third Proportional to 501,331.50 and 1,154,313

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Solution

The third proportional to 501,331.50 and 1,154,313 is: 2,657,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,331.50 : 1,154,313 = 1,154,313 : x
  2. Step 2: Convert to fraction form
    501,331.50/1,154,313 = 1,154,313/x
  3. Step 3: Cross multiply
    501,331.50x = 1,154,313 × 1,154,313
  4. Step 4: Simplify right side
    501,331.50x = 1,332,438,501,969
  5. Step 5: Solve for x
    x = 1,332,438,501,969/501,331.50
  6. Step 6: Final answer
    x = 2,657,799.28

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.