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Finding the Third Proportional to 529,864 and 744,248

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Solution

The third proportional to 529,864 and 744,248 is: 1,045,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,864 : 744,248 = 744,248 : x
  2. Step 2: Convert to fraction form
    529,864/744,248 = 744,248/x
  3. Step 3: Cross multiply
    529,864x = 744,248 × 744,248
  4. Step 4: Simplify right side
    529,864x = 553,905,085,504
  5. Step 5: Solve for x
    x = 553,905,085,504/529,864
  6. Step 6: Final answer
    x = 1,045,372.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.