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Finding the Third Proportional to 262,525.50 and 542,547

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Solution

The third proportional to 262,525.50 and 542,547 is: 1,121,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,525.50 : 542,547 = 542,547 : x
  2. Step 2: Convert to fraction form
    262,525.50/542,547 = 542,547/x
  3. Step 3: Cross multiply
    262,525.50x = 542,547 × 542,547
  4. Step 4: Simplify right side
    262,525.50x = 294,357,247,209
  5. Step 5: Solve for x
    x = 294,357,247,209/262,525.50
  6. Step 6: Final answer
    x = 1,121,252.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.