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Finding the Third Proportional to 385,629 and 593,106

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Solution

The third proportional to 385,629 and 593,106 is: 912,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,629 : 593,106 = 593,106 : x
  2. Step 2: Convert to fraction form
    385,629/593,106 = 593,106/x
  3. Step 3: Cross multiply
    385,629x = 593,106 × 593,106
  4. Step 4: Simplify right side
    385,629x = 351,774,727,236
  5. Step 5: Solve for x
    x = 351,774,727,236/385,629
  6. Step 6: Final answer
    x = 912,210.25

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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.