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Finding the Third Proportional to 389,502 and 588,465

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Solution

The third proportional to 389,502 and 588,465 is: 889,061.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,502 : 588,465 = 588,465 : x
  2. Step 2: Convert to fraction form
    389,502/588,465 = 588,465/x
  3. Step 3: Cross multiply
    389,502x = 588,465 × 588,465
  4. Step 4: Simplify right side
    389,502x = 346,291,056,225
  5. Step 5: Solve for x
    x = 346,291,056,225/389,502
  6. Step 6: Final answer
    x = 889,061.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.