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Finding the Third Proportional to 405,472 and 584,069

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Solution

The third proportional to 405,472 and 584,069 is: 841,332.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,472 : 584,069 = 584,069 : x
  2. Step 2: Convert to fraction form
    405,472/584,069 = 584,069/x
  3. Step 3: Cross multiply
    405,472x = 584,069 × 584,069
  4. Step 4: Simplify right side
    405,472x = 341,136,596,761
  5. Step 5: Solve for x
    x = 341,136,596,761/405,472
  6. Step 6: Final answer
    x = 841,332.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.