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Finding the Third Proportional to 473,071.50 and 734,521.50

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Solution

The third proportional to 473,071.50 and 734,521.50 is: 1,140,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,071.50 : 734,521.50 = 734,521.50 : x
  2. Step 2: Convert to fraction form
    473,071.50/734,521.50 = 734,521.50/x
  3. Step 3: Cross multiply
    473,071.50x = 734,521.50 × 734,521.50
  4. Step 4: Simplify right side
    473,071.50x = 539,521,833,962.25
  5. Step 5: Solve for x
    x = 539,521,833,962.25/473,071.50
  6. Step 6: Final answer
    x = 1,140,465.73

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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.