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Finding the Third Proportional to 364,136 and 745,764

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Solution

The third proportional to 364,136 and 745,764 is: 1,527,352.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,136 : 745,764 = 745,764 : x
  2. Step 2: Convert to fraction form
    364,136/745,764 = 745,764/x
  3. Step 3: Cross multiply
    364,136x = 745,764 × 745,764
  4. Step 4: Simplify right side
    364,136x = 556,163,943,696
  5. Step 5: Solve for x
    x = 556,163,943,696/364,136
  6. Step 6: Final answer
    x = 1,527,352.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.