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Finding the Third Proportional to 594,742.50 and 847,827

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Solution

The third proportional to 594,742.50 and 847,827 is: 1,208,608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,742.50 : 847,827 = 847,827 : x
  2. Step 2: Convert to fraction form
    594,742.50/847,827 = 847,827/x
  3. Step 3: Cross multiply
    594,742.50x = 847,827 × 847,827
  4. Step 4: Simplify right side
    594,742.50x = 718,810,621,929
  5. Step 5: Solve for x
    x = 718,810,621,929/594,742.50
  6. Step 6: Final answer
    x = 1,208,608.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.