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Finding the Third Proportional to 462,851 and 700,082

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Solution

The third proportional to 462,851 and 700,082 is: 1,058,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,851 : 700,082 = 700,082 : x
  2. Step 2: Convert to fraction form
    462,851/700,082 = 700,082/x
  3. Step 3: Cross multiply
    462,851x = 700,082 × 700,082
  4. Step 4: Simplify right side
    462,851x = 490,114,806,724
  5. Step 5: Solve for x
    x = 490,114,806,724/462,851
  6. Step 6: Final answer
    x = 1,058,904.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.