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Finding the Third Proportional to 291,202 and 456,894

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Solution

The third proportional to 291,202 and 456,894 is: 716,863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,202 : 456,894 = 456,894 : x
  2. Step 2: Convert to fraction form
    291,202/456,894 = 456,894/x
  3. Step 3: Cross multiply
    291,202x = 456,894 × 456,894
  4. Step 4: Simplify right side
    291,202x = 208,752,127,236
  5. Step 5: Solve for x
    x = 208,752,127,236/291,202
  6. Step 6: Final answer
    x = 716,863.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.