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Finding the Third Proportional to 499,904 and 714,364

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Solution

The third proportional to 499,904 and 714,364 is: 1,020,827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,904 : 714,364 = 714,364 : x
  2. Step 2: Convert to fraction form
    499,904/714,364 = 714,364/x
  3. Step 3: Cross multiply
    499,904x = 714,364 × 714,364
  4. Step 4: Simplify right side
    499,904x = 510,315,924,496
  5. Step 5: Solve for x
    x = 510,315,924,496/499,904
  6. Step 6: Final answer
    x = 1,020,827.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.