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Finding the Third Proportional to 338,310 and 734,934

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Solution

The third proportional to 338,310 and 734,934 is: 1,596,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,310 : 734,934 = 734,934 : x
  2. Step 2: Convert to fraction form
    338,310/734,934 = 734,934/x
  3. Step 3: Cross multiply
    338,310x = 734,934 × 734,934
  4. Step 4: Simplify right side
    338,310x = 540,127,984,356
  5. Step 5: Solve for x
    x = 540,127,984,356/338,310
  6. Step 6: Final answer
    x = 1,596,547.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.