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Finding the Third Proportional to 473,070 and 734,520

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Solution

The third proportional to 473,070 and 734,520 is: 1,140,464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,070 : 734,520 = 734,520 : x
  2. Step 2: Convert to fraction form
    473,070/734,520 = 734,520/x
  3. Step 3: Cross multiply
    473,070x = 734,520 × 734,520
  4. Step 4: Simplify right side
    473,070x = 539,519,630,400
  5. Step 5: Solve for x
    x = 539,519,630,400/473,070
  6. Step 6: Final answer
    x = 1,140,464.69

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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.