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Finding the Third Proportional to 464,064 and 738,423

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Solution

The third proportional to 464,064 and 738,423 is: 1,174,985.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,064 : 738,423 = 738,423 : x
  2. Step 2: Convert to fraction form
    464,064/738,423 = 738,423/x
  3. Step 3: Cross multiply
    464,064x = 738,423 × 738,423
  4. Step 4: Simplify right side
    464,064x = 545,268,526,929
  5. Step 5: Solve for x
    x = 545,268,526,929/464,064
  6. Step 6: Final answer
    x = 1,174,985.62

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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.