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Finding the Third Proportional to 385,655 and 593,148

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Solution

The third proportional to 385,655 and 593,148 is: 912,277.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,655 : 593,148 = 593,148 : x
  2. Step 2: Convert to fraction form
    385,655/593,148 = 593,148/x
  3. Step 3: Cross multiply
    385,655x = 593,148 × 593,148
  4. Step 4: Simplify right side
    385,655x = 351,824,549,904
  5. Step 5: Solve for x
    x = 351,824,549,904/385,655
  6. Step 6: Final answer
    x = 912,277.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.