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Finding the Third Proportional to 334,436 and 714,232

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Solution

The third proportional to 334,436 and 714,232 is: 1,525,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,436 : 714,232 = 714,232 : x
  2. Step 2: Convert to fraction form
    334,436/714,232 = 714,232/x
  3. Step 3: Cross multiply
    334,436x = 714,232 × 714,232
  4. Step 4: Simplify right side
    334,436x = 510,127,349,824
  5. Step 5: Solve for x
    x = 510,127,349,824/334,436
  6. Step 6: Final answer
    x = 1,525,336.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.