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Finding the Third Proportional to 524,168 and 785,430

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Solution

The third proportional to 524,168 and 785,430 is: 1,176,913.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,168 : 785,430 = 785,430 : x
  2. Step 2: Convert to fraction form
    524,168/785,430 = 785,430/x
  3. Step 3: Cross multiply
    524,168x = 785,430 × 785,430
  4. Step 4: Simplify right side
    524,168x = 616,900,284,900
  5. Step 5: Solve for x
    x = 616,900,284,900/524,168
  6. Step 6: Final answer
    x = 1,176,913.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.