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Finding the Third Proportional to 464,549.55 and 734,216.91

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Solution

The third proportional to 464,549.55 and 734,216.91 is: 1,160,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,549.55 : 734,216.91 = 734,216.91 : x
  2. Step 2: Convert to fraction form
    464,549.55/734,216.91 = 734,216.91/x
  3. Step 3: Cross multiply
    464,549.55x = 734,216.91 × 734,216.91
  4. Step 4: Simplify right side
    464,549.55x = 539,074,465,423.32
  5. Step 5: Solve for x
    x = 539,074,465,423.32/464,549.55
  6. Step 6: Final answer
    x = 1,160,424.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.