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Finding the Third Proportional to 356,176 and 554,688

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Solution

The third proportional to 356,176 and 554,688 is: 863,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,176 : 554,688 = 554,688 : x
  2. Step 2: Convert to fraction form
    356,176/554,688 = 554,688/x
  3. Step 3: Cross multiply
    356,176x = 554,688 × 554,688
  4. Step 4: Simplify right side
    356,176x = 307,678,777,344
  5. Step 5: Solve for x
    x = 307,678,777,344/356,176
  6. Step 6: Final answer
    x = 863,839.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.