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Finding the Third Proportional to 481,332 and 748,323

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Solution

The third proportional to 481,332 and 748,323 is: 1,163,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,332 : 748,323 = 748,323 : x
  2. Step 2: Convert to fraction form
    481,332/748,323 = 748,323/x
  3. Step 3: Cross multiply
    481,332x = 748,323 × 748,323
  4. Step 4: Simplify right side
    481,332x = 559,987,312,329
  5. Step 5: Solve for x
    x = 559,987,312,329/481,332
  6. Step 6: Final answer
    x = 1,163,411.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.