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Finding the Third Proportional to 360,748 and 560,770

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Solution

The third proportional to 360,748 and 560,770 is: 871,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,748 : 560,770 = 560,770 : x
  2. Step 2: Convert to fraction form
    360,748/560,770 = 560,770/x
  3. Step 3: Cross multiply
    360,748x = 560,770 × 560,770
  4. Step 4: Simplify right side
    360,748x = 314,462,992,900
  5. Step 5: Solve for x
    x = 314,462,992,900/360,748
  6. Step 6: Final answer
    x = 871,697.12

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Why These Related Problems?

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