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Finding the Third Proportional to 430,586 and 616,348

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Solution

The third proportional to 430,586 and 616,348 is: 882,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,586 : 616,348 = 616,348 : x
  2. Step 2: Convert to fraction form
    430,586/616,348 = 616,348/x
  3. Step 3: Cross multiply
    430,586x = 616,348 × 616,348
  4. Step 4: Simplify right side
    430,586x = 379,884,857,104
  5. Step 5: Solve for x
    x = 379,884,857,104/430,586
  6. Step 6: Final answer
    x = 882,250.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.