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Finding the Third Proportional to 574,494 and 909,264

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Solution

The third proportional to 574,494 and 909,264 is: 1,439,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,494 : 909,264 = 909,264 : x
  2. Step 2: Convert to fraction form
    574,494/909,264 = 909,264/x
  3. Step 3: Cross multiply
    574,494x = 909,264 × 909,264
  4. Step 4: Simplify right side
    574,494x = 826,761,021,696
  5. Step 5: Solve for x
    x = 826,761,021,696/574,494
  6. Step 6: Final answer
    x = 1,439,111.67

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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.