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Finding the Third Proportional to 245,528 and 371,612

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Solution

The third proportional to 245,528 and 371,612 is: 562,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,528 : 371,612 = 371,612 : x
  2. Step 2: Convert to fraction form
    245,528/371,612 = 371,612/x
  3. Step 3: Cross multiply
    245,528x = 371,612 × 371,612
  4. Step 4: Simplify right side
    245,528x = 138,095,478,544
  5. Step 5: Solve for x
    x = 138,095,478,544/245,528
  6. Step 6: Final answer
    x = 562,442.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.