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Finding the Third Proportional to 531,008 and 841,236

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Solution

The third proportional to 531,008 and 841,236 is: 1,332,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,008 : 841,236 = 841,236 : x
  2. Step 2: Convert to fraction form
    531,008/841,236 = 841,236/x
  3. Step 3: Cross multiply
    531,008x = 841,236 × 841,236
  4. Step 4: Simplify right side
    531,008x = 707,678,007,696
  5. Step 5: Solve for x
    x = 707,678,007,696/531,008
  6. Step 6: Final answer
    x = 1,332,706.87

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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.