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Finding the Third Proportional to 525,700.13 and 869,537.53

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Solution

The third proportional to 525,700.13 and 869,537.53 is: 1,438,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,700.13 : 869,537.53 = 869,537.53 : x
  2. Step 2: Convert to fraction form
    525,700.13/869,537.53 = 869,537.53/x
  3. Step 3: Cross multiply
    525,700.13x = 869,537.53 × 869,537.53
  4. Step 4: Simplify right side
    525,700.13x = 756,095,518,252.35
  5. Step 5: Solve for x
    x = 756,095,518,252.35/525,700.13
  6. Step 6: Final answer
    x = 1,438,263.91

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.