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Finding the Third Proportional to 604,624 and 903,776

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Solution

The third proportional to 604,624 and 903,776 is: 1,350,940.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,624 : 903,776 = 903,776 : x
  2. Step 2: Convert to fraction form
    604,624/903,776 = 903,776/x
  3. Step 3: Cross multiply
    604,624x = 903,776 × 903,776
  4. Step 4: Simplify right side
    604,624x = 816,811,058,176
  5. Step 5: Solve for x
    x = 816,811,058,176/604,624
  6. Step 6: Final answer
    x = 1,350,940.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.