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Finding the Third Proportional to 499,900 and 714,358

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Solution

The third proportional to 499,900 and 714,358 is: 1,020,818.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,900 : 714,358 = 714,358 : x
  2. Step 2: Convert to fraction form
    499,900/714,358 = 714,358/x
  3. Step 3: Cross multiply
    499,900x = 714,358 × 714,358
  4. Step 4: Simplify right side
    499,900x = 510,307,352,164
  5. Step 5: Solve for x
    x = 510,307,352,164/499,900
  6. Step 6: Final answer
    x = 1,020,818.87

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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.