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Finding the Third Proportional to 478,893 and 714,189

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Solution

The third proportional to 478,893 and 714,189 is: 1,065,093.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,893 : 714,189 = 714,189 : x
  2. Step 2: Convert to fraction form
    478,893/714,189 = 714,189/x
  3. Step 3: Cross multiply
    478,893x = 714,189 × 714,189
  4. Step 4: Simplify right side
    478,893x = 510,065,927,721
  5. Step 5: Solve for x
    x = 510,065,927,721/478,893
  6. Step 6: Final answer
    x = 1,065,093.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.