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Finding the Third Proportional to 224,454 and 374,047

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Solution

The third proportional to 224,454 and 374,047 is: 623,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,454 : 374,047 = 374,047 : x
  2. Step 2: Convert to fraction form
    224,454/374,047 = 374,047/x
  3. Step 3: Cross multiply
    224,454x = 374,047 × 374,047
  4. Step 4: Simplify right side
    224,454x = 139,911,158,209
  5. Step 5: Solve for x
    x = 139,911,158,209/224,454
  6. Step 6: Final answer
    x = 623,340.01

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.