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Finding the Third Proportional to 528,160 and 780,592

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Solution

The third proportional to 528,160 and 780,592 is: 1,153,672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,160 : 780,592 = 780,592 : x
  2. Step 2: Convert to fraction form
    528,160/780,592 = 780,592/x
  3. Step 3: Cross multiply
    528,160x = 780,592 × 780,592
  4. Step 4: Simplify right side
    528,160x = 609,323,870,464
  5. Step 5: Solve for x
    x = 609,323,870,464/528,160
  6. Step 6: Final answer
    x = 1,153,672.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.