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Finding the Third Proportional to 507,650.25 and 761,574.38

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Solution

The third proportional to 507,650.25 and 761,574.38 is: 1,142,510.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,650.25 : 761,574.38 = 761,574.38 : x
  2. Step 2: Convert to fraction form
    507,650.25/761,574.38 = 761,574.38/x
  3. Step 3: Cross multiply
    507,650.25x = 761,574.38 × 761,574.38
  4. Step 4: Simplify right side
    507,650.25x = 579,995,528,656.64
  5. Step 5: Solve for x
    x = 579,995,528,656.64/507,650.25
  6. Step 6: Final answer
    x = 1,142,510.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.