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Finding the Third Proportional to 286,808 and 592,030

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Solution

The third proportional to 286,808 and 592,030 is: 1,222,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,808 : 592,030 = 592,030 : x
  2. Step 2: Convert to fraction form
    286,808/592,030 = 592,030/x
  3. Step 3: Cross multiply
    286,808x = 592,030 × 592,030
  4. Step 4: Simplify right side
    286,808x = 350,499,520,900
  5. Step 5: Solve for x
    x = 350,499,520,900/286,808
  6. Step 6: Final answer
    x = 1,222,070.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.