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Finding the Third Proportional to 560,155 and 860,998

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Solution

The third proportional to 560,155 and 860,998 is: 1,323,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,155 : 860,998 = 860,998 : x
  2. Step 2: Convert to fraction form
    560,155/860,998 = 860,998/x
  3. Step 3: Cross multiply
    560,155x = 860,998 × 860,998
  4. Step 4: Simplify right side
    560,155x = 741,317,556,004
  5. Step 5: Solve for x
    x = 741,317,556,004/560,155
  6. Step 6: Final answer
    x = 1,323,415.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.