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Finding the Third Proportional to 531,012 and 841,242

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Solution

The third proportional to 531,012 and 841,242 is: 1,332,715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,012 : 841,242 = 841,242 : x
  2. Step 2: Convert to fraction form
    531,012/841,242 = 841,242/x
  3. Step 3: Cross multiply
    531,012x = 841,242 × 841,242
  4. Step 4: Simplify right side
    531,012x = 707,688,102,564
  5. Step 5: Solve for x
    x = 707,688,102,564/531,012
  6. Step 6: Final answer
    x = 1,332,715.84

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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.