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Finding the Third Proportional to 623,664 and 941,136

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Solution

The third proportional to 623,664 and 941,136 is: 1,420,215.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,664 : 941,136 = 941,136 : x
  2. Step 2: Convert to fraction form
    623,664/941,136 = 941,136/x
  3. Step 3: Cross multiply
    623,664x = 941,136 × 941,136
  4. Step 4: Simplify right side
    623,664x = 885,736,970,496
  5. Step 5: Solve for x
    x = 885,736,970,496/623,664
  6. Step 6: Final answer
    x = 1,420,215.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.