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Finding the Third Proportional to 476,460 and 714,851

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Solution

The third proportional to 476,460 and 714,851 is: 1,072,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,460 : 714,851 = 714,851 : x
  2. Step 2: Convert to fraction form
    476,460/714,851 = 714,851/x
  3. Step 3: Cross multiply
    476,460x = 714,851 × 714,851
  4. Step 4: Simplify right side
    476,460x = 511,011,952,201
  5. Step 5: Solve for x
    x = 511,011,952,201/476,460
  6. Step 6: Final answer
    x = 1,072,518.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.