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Finding the Third Proportional to 590,378 and 911,663

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Solution

The third proportional to 590,378 and 911,663 is: 1,407,792.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,378 : 911,663 = 911,663 : x
  2. Step 2: Convert to fraction form
    590,378/911,663 = 911,663/x
  3. Step 3: Cross multiply
    590,378x = 911,663 × 911,663
  4. Step 4: Simplify right side
    590,378x = 831,129,425,569
  5. Step 5: Solve for x
    x = 831,129,425,569/590,378
  6. Step 6: Final answer
    x = 1,407,792.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.