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Finding the Third Proportional to 284,148 and 616,572

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Solution

The third proportional to 284,148 and 616,572 is: 1,337,897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,148 : 616,572 = 616,572 : x
  2. Step 2: Convert to fraction form
    284,148/616,572 = 616,572/x
  3. Step 3: Cross multiply
    284,148x = 616,572 × 616,572
  4. Step 4: Simplify right side
    284,148x = 380,161,031,184
  5. Step 5: Solve for x
    x = 380,161,031,184/284,148
  6. Step 6: Final answer
    x = 1,337,897.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.