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Finding the Third Proportional to 286,349.34 and 592,517.53

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Solution

The third proportional to 286,349.34 and 592,517.53 is: 1,226,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,349.34 : 592,517.53 = 592,517.53 : x
  2. Step 2: Convert to fraction form
    286,349.34/592,517.53 = 592,517.53/x
  3. Step 3: Cross multiply
    286,349.34x = 592,517.53 × 592,517.53
  4. Step 4: Simplify right side
    286,349.34x = 351,077,024,838.60
  5. Step 5: Solve for x
    x = 351,077,024,838.60/286,349.34
  6. Step 6: Final answer
    x = 1,226,044.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.