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Finding the Third Proportional to 389,088 and 714,240

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Solution

The third proportional to 389,088 and 714,240 is: 1,311,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,088 : 714,240 = 714,240 : x
  2. Step 2: Convert to fraction form
    389,088/714,240 = 714,240/x
  3. Step 3: Cross multiply
    389,088x = 714,240 × 714,240
  4. Step 4: Simplify right side
    389,088x = 510,138,777,600
  5. Step 5: Solve for x
    x = 510,138,777,600/389,088
  6. Step 6: Final answer
    x = 1,311,114.14

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.