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Finding the Third Proportional to 535,836 and 749,178

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Solution

The third proportional to 535,836 and 749,178 is: 1,047,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,836 : 749,178 = 749,178 : x
  2. Step 2: Convert to fraction form
    535,836/749,178 = 749,178/x
  3. Step 3: Cross multiply
    535,836x = 749,178 × 749,178
  4. Step 4: Simplify right side
    535,836x = 561,267,675,684
  5. Step 5: Solve for x
    x = 561,267,675,684/535,836
  6. Step 6: Final answer
    x = 1,047,461.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.