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Finding the Third Proportional to 507,649.50 and 761,574

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Solution

The third proportional to 507,649.50 and 761,574 is: 1,142,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,649.50 : 761,574 = 761,574 : x
  2. Step 2: Convert to fraction form
    507,649.50/761,574 = 761,574/x
  3. Step 3: Cross multiply
    507,649.50x = 761,574 × 761,574
  4. Step 4: Simplify right side
    507,649.50x = 579,994,957,476
  5. Step 5: Solve for x
    x = 579,994,957,476/507,649.50
  6. Step 6: Final answer
    x = 1,142,510.64

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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.