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Finding the Third Proportional to 388,768.50 and 608,547

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Solution

The third proportional to 388,768.50 and 608,547 is: 952,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,768.50 : 608,547 = 608,547 : x
  2. Step 2: Convert to fraction form
    388,768.50/608,547 = 608,547/x
  3. Step 3: Cross multiply
    388,768.50x = 608,547 × 608,547
  4. Step 4: Simplify right side
    388,768.50x = 370,329,451,209
  5. Step 5: Solve for x
    x = 370,329,451,209/388,768.50
  6. Step 6: Final answer
    x = 952,570.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.