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Finding the Third Proportional to 592,213 and 866,207

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Solution

The third proportional to 592,213 and 866,207 is: 1,266,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,213 : 866,207 = 866,207 : x
  2. Step 2: Convert to fraction form
    592,213/866,207 = 866,207/x
  3. Step 3: Cross multiply
    592,213x = 866,207 × 866,207
  4. Step 4: Simplify right side
    592,213x = 750,314,566,849
  5. Step 5: Solve for x
    x = 750,314,566,849/592,213
  6. Step 6: Final answer
    x = 1,266,967.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.