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Finding the Third Proportional to 593,290 and 943,287

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Solution

The third proportional to 593,290 and 943,287 is: 1,499,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,290 : 943,287 = 943,287 : x
  2. Step 2: Convert to fraction form
    593,290/943,287 = 943,287/x
  3. Step 3: Cross multiply
    593,290x = 943,287 × 943,287
  4. Step 4: Simplify right side
    593,290x = 889,790,364,369
  5. Step 5: Solve for x
    x = 889,790,364,369/593,290
  6. Step 6: Final answer
    x = 1,499,756.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.