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Finding the Third Proportional to 710,209.50 and 1,525,827

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Solution

The third proportional to 710,209.50 and 1,525,827 is: 3,278,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,209.50 : 1,525,827 = 1,525,827 : x
  2. Step 2: Convert to fraction form
    710,209.50/1,525,827 = 1,525,827/x
  3. Step 3: Cross multiply
    710,209.50x = 1,525,827 × 1,525,827
  4. Step 4: Simplify right side
    710,209.50x = 2,328,148,033,929
  5. Step 5: Solve for x
    x = 2,328,148,033,929/710,209.50
  6. Step 6: Final answer
    x = 3,278,114.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.