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Finding the Third Proportional to 286,357 and 592,532

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Solution

The third proportional to 286,357 and 592,532 is: 1,226,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,357 : 592,532 = 592,532 : x
  2. Step 2: Convert to fraction form
    286,357/592,532 = 592,532/x
  3. Step 3: Cross multiply
    286,357x = 592,532 × 592,532
  4. Step 4: Simplify right side
    286,357x = 351,094,171,024
  5. Step 5: Solve for x
    x = 351,094,171,024/286,357
  6. Step 6: Final answer
    x = 1,226,071.55

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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.