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Finding the Third Proportional to 451,440 and 714,232

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Solution

The third proportional to 451,440 and 714,232 is: 1,130,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,440 : 714,232 = 714,232 : x
  2. Step 2: Convert to fraction form
    451,440/714,232 = 714,232/x
  3. Step 3: Cross multiply
    451,440x = 714,232 × 714,232
  4. Step 4: Simplify right side
    451,440x = 510,127,349,824
  5. Step 5: Solve for x
    x = 510,127,349,824/451,440
  6. Step 6: Final answer
    x = 1,130,000.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.