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Finding the Third Proportional to 484,572 and 722,136

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Solution

The third proportional to 484,572 and 722,136 is: 1,076,167.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,572 : 722,136 = 722,136 : x
  2. Step 2: Convert to fraction form
    484,572/722,136 = 722,136/x
  3. Step 3: Cross multiply
    484,572x = 722,136 × 722,136
  4. Step 4: Simplify right side
    484,572x = 521,480,402,496
  5. Step 5: Solve for x
    x = 521,480,402,496/484,572
  6. Step 6: Final answer
    x = 1,076,167.01

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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.