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Finding the Third Proportional to 338,878.50 and 733,547.50

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Solution

The third proportional to 338,878.50 and 733,547.50 is: 1,587,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,878.50 : 733,547.50 = 733,547.50 : x
  2. Step 2: Convert to fraction form
    338,878.50/733,547.50 = 733,547.50/x
  3. Step 3: Cross multiply
    338,878.50x = 733,547.50 × 733,547.50
  4. Step 4: Simplify right side
    338,878.50x = 538,091,934,756.25
  5. Step 5: Solve for x
    x = 538,091,934,756.25/338,878.50
  6. Step 6: Final answer
    x = 1,587,860.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.