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Finding the Third Proportional to 565,521 and 743,292

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Solution

The third proportional to 565,521 and 743,292 is: 976,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,521 : 743,292 = 743,292 : x
  2. Step 2: Convert to fraction form
    565,521/743,292 = 743,292/x
  3. Step 3: Cross multiply
    565,521x = 743,292 × 743,292
  4. Step 4: Simplify right side
    565,521x = 552,482,997,264
  5. Step 5: Solve for x
    x = 552,482,997,264/565,521
  6. Step 6: Final answer
    x = 976,945.15

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.