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Finding the Third Proportional to 464,068 and 738,430

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Solution

The third proportional to 464,068 and 738,430 is: 1,174,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,068 : 738,430 = 738,430 : x
  2. Step 2: Convert to fraction form
    464,068/738,430 = 738,430/x
  3. Step 3: Cross multiply
    464,068x = 738,430 × 738,430
  4. Step 4: Simplify right side
    464,068x = 545,278,864,900
  5. Step 5: Solve for x
    x = 545,278,864,900/464,068
  6. Step 6: Final answer
    x = 1,174,997.77

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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.