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Finding the Third Proportional to 388,365 and 524,706

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Solution

The third proportional to 388,365 and 524,706 is: 708,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,365 : 524,706 = 524,706 : x
  2. Step 2: Convert to fraction form
    388,365/524,706 = 524,706/x
  3. Step 3: Cross multiply
    388,365x = 524,706 × 524,706
  4. Step 4: Simplify right side
    388,365x = 275,316,386,436
  5. Step 5: Solve for x
    x = 275,316,386,436/388,365
  6. Step 6: Final answer
    x = 708,911.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.