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Finding the Third Proportional to 531,140 and 812,870

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Solution

The third proportional to 531,140 and 812,870 is: 1,244,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,140 : 812,870 = 812,870 : x
  2. Step 2: Convert to fraction form
    531,140/812,870 = 812,870/x
  3. Step 3: Cross multiply
    531,140x = 812,870 × 812,870
  4. Step 4: Simplify right side
    531,140x = 660,757,636,900
  5. Step 5: Solve for x
    x = 660,757,636,900/531,140
  6. Step 6: Final answer
    x = 1,244,036.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.