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Finding the Third Proportional to 525,528 and 808,704

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Solution

The third proportional to 525,528 and 808,704 is: 1,244,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,528 : 808,704 = 808,704 : x
  2. Step 2: Convert to fraction form
    525,528/808,704 = 808,704/x
  3. Step 3: Cross multiply
    525,528x = 808,704 × 808,704
  4. Step 4: Simplify right side
    525,528x = 654,002,159,616
  5. Step 5: Solve for x
    x = 654,002,159,616/525,528
  6. Step 6: Final answer
    x = 1,244,466.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.