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Finding the Third Proportional to 351,506 and 767,164

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Solution

The third proportional to 351,506 and 767,164 is: 1,674,340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,506 : 767,164 = 767,164 : x
  2. Step 2: Convert to fraction form
    351,506/767,164 = 767,164/x
  3. Step 3: Cross multiply
    351,506x = 767,164 × 767,164
  4. Step 4: Simplify right side
    351,506x = 588,540,602,896
  5. Step 5: Solve for x
    x = 588,540,602,896/351,506
  6. Step 6: Final answer
    x = 1,674,340.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.