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Finding the Third Proportional to 452,148 and 664,358

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Solution

The third proportional to 452,148 and 664,358 is: 976,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,148 : 664,358 = 664,358 : x
  2. Step 2: Convert to fraction form
    452,148/664,358 = 664,358/x
  3. Step 3: Cross multiply
    452,148x = 664,358 × 664,358
  4. Step 4: Simplify right side
    452,148x = 441,371,552,164
  5. Step 5: Solve for x
    x = 441,371,552,164/452,148
  6. Step 6: Final answer
    x = 976,166.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.