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Finding the Third Proportional to 374,688 and 574,512

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Solution

The third proportional to 374,688 and 574,512 is: 880,903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,688 : 574,512 = 574,512 : x
  2. Step 2: Convert to fraction form
    374,688/574,512 = 574,512/x
  3. Step 3: Cross multiply
    374,688x = 574,512 × 574,512
  4. Step 4: Simplify right side
    374,688x = 330,064,038,144
  5. Step 5: Solve for x
    x = 330,064,038,144/374,688
  6. Step 6: Final answer
    x = 880,903.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.