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Finding the Third Proportional to 478,863 and 714,141

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Solution

The third proportional to 478,863 and 714,141 is: 1,065,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,863 : 714,141 = 714,141 : x
  2. Step 2: Convert to fraction form
    478,863/714,141 = 714,141/x
  3. Step 3: Cross multiply
    478,863x = 714,141 × 714,141
  4. Step 4: Simplify right side
    478,863x = 509,997,367,881
  5. Step 5: Solve for x
    x = 509,997,367,881/478,863
  6. Step 6: Final answer
    x = 1,065,017.28

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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.