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Finding the Third Proportional to 393,464 and 577,148

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Solution

The third proportional to 393,464 and 577,148 is: 846,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,464 : 577,148 = 577,148 : x
  2. Step 2: Convert to fraction form
    393,464/577,148 = 577,148/x
  3. Step 3: Cross multiply
    393,464x = 577,148 × 577,148
  4. Step 4: Simplify right side
    393,464x = 333,099,813,904
  5. Step 5: Solve for x
    x = 333,099,813,904/393,464
  6. Step 6: Final answer
    x = 846,582.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.