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Finding the Third Proportional to 503,292 and 734,178

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Solution

The third proportional to 503,292 and 734,178 is: 1,070,983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,292 : 734,178 = 734,178 : x
  2. Step 2: Convert to fraction form
    503,292/734,178 = 734,178/x
  3. Step 3: Cross multiply
    503,292x = 734,178 × 734,178
  4. Step 4: Simplify right side
    503,292x = 539,017,335,684
  5. Step 5: Solve for x
    x = 539,017,335,684/503,292
  6. Step 6: Final answer
    x = 1,070,983.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.