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Finding the Third Proportional to 560,330 and 754,923

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Solution

The third proportional to 560,330 and 754,923 is: 1,017,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,330 : 754,923 = 754,923 : x
  2. Step 2: Convert to fraction form
    560,330/754,923 = 754,923/x
  3. Step 3: Cross multiply
    560,330x = 754,923 × 754,923
  4. Step 4: Simplify right side
    560,330x = 569,908,735,929
  5. Step 5: Solve for x
    x = 569,908,735,929/560,330
  6. Step 6: Final answer
    x = 1,017,094.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.