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Finding the Third Proportional to 478,858 and 714,133

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Solution

The third proportional to 478,858 and 714,133 is: 1,065,004.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,858 : 714,133 = 714,133 : x
  2. Step 2: Convert to fraction form
    478,858/714,133 = 714,133/x
  3. Step 3: Cross multiply
    478,858x = 714,133 × 714,133
  4. Step 4: Simplify right side
    478,858x = 509,985,941,689
  5. Step 5: Solve for x
    x = 509,985,941,689/478,858
  6. Step 6: Final answer
    x = 1,065,004.54

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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.