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Finding the Third Proportional to 531,004 and 841,230

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Solution

The third proportional to 531,004 and 841,230 is: 1,332,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,004 : 841,230 = 841,230 : x
  2. Step 2: Convert to fraction form
    531,004/841,230 = 841,230/x
  3. Step 3: Cross multiply
    531,004x = 841,230 × 841,230
  4. Step 4: Simplify right side
    531,004x = 707,667,912,900
  5. Step 5: Solve for x
    x = 707,667,912,900/531,004
  6. Step 6: Final answer
    x = 1,332,697.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.