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Finding the Third Proportional to 388,368 and 524,710

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Solution

The third proportional to 388,368 and 524,710 is: 708,916.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,368 : 524,710 = 524,710 : x
  2. Step 2: Convert to fraction form
    388,368/524,710 = 524,710/x
  3. Step 3: Cross multiply
    388,368x = 524,710 × 524,710
  4. Step 4: Simplify right side
    388,368x = 275,320,584,100
  5. Step 5: Solve for x
    x = 275,320,584,100/388,368
  6. Step 6: Final answer
    x = 708,916.76

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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.