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Finding the Third Proportional to 430,592 and 616,352

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Solution

The third proportional to 430,592 and 616,352 is: 882,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,592 : 616,352 = 616,352 : x
  2. Step 2: Convert to fraction form
    430,592/616,352 = 616,352/x
  3. Step 3: Cross multiply
    430,592x = 616,352 × 616,352
  4. Step 4: Simplify right side
    430,592x = 379,889,787,904
  5. Step 5: Solve for x
    x = 379,889,787,904/430,592
  6. Step 6: Final answer
    x = 882,249.99

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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.