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Finding the Third Proportional to 525,528 and 815,280

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Solution

The third proportional to 525,528 and 815,280 is: 1,264,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,528 : 815,280 = 815,280 : x
  2. Step 2: Convert to fraction form
    525,528/815,280 = 815,280/x
  3. Step 3: Cross multiply
    525,528x = 815,280 × 815,280
  4. Step 4: Simplify right side
    525,528x = 664,681,478,400
  5. Step 5: Solve for x
    x = 664,681,478,400/525,528
  6. Step 6: Final answer
    x = 1,264,787.94

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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.