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Finding the Third Proportional to 314,060 and 697,778

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Solution

The third proportional to 314,060 and 697,778 is: 1,550,322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,060 : 697,778 = 697,778 : x
  2. Step 2: Convert to fraction form
    314,060/697,778 = 697,778/x
  3. Step 3: Cross multiply
    314,060x = 697,778 × 697,778
  4. Step 4: Simplify right side
    314,060x = 486,894,137,284
  5. Step 5: Solve for x
    x = 486,894,137,284/314,060
  6. Step 6: Final answer
    x = 1,550,322.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.