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Finding the Third Proportional to 464,400.84 and 738,812.39

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Solution

The third proportional to 464,400.84 and 738,812.39 is: 1,175,372.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,400.84 : 738,812.39 = 738,812.39 : x
  2. Step 2: Convert to fraction form
    464,400.84/738,812.39 = 738,812.39/x
  3. Step 3: Cross multiply
    464,400.84x = 738,812.39 × 738,812.39
  4. Step 4: Simplify right side
    464,400.84x = 545,843,748,541.03
  5. Step 5: Solve for x
    x = 545,843,748,541.03/464,400.84
  6. Step 6: Final answer
    x = 1,175,372.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.