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Finding the Third Proportional to 590,581 and 916,207

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Solution

The third proportional to 590,581 and 916,207 is: 1,421,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,581 : 916,207 = 916,207 : x
  2. Step 2: Convert to fraction form
    590,581/916,207 = 916,207/x
  3. Step 3: Cross multiply
    590,581x = 916,207 × 916,207
  4. Step 4: Simplify right side
    590,581x = 839,435,266,849
  5. Step 5: Solve for x
    x = 839,435,266,849/590,581
  6. Step 6: Final answer
    x = 1,421,371.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.