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Finding the Third Proportional to 507,087 and 759,047

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Solution

The third proportional to 507,087 and 759,047 is: 1,136,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,087 : 759,047 = 759,047 : x
  2. Step 2: Convert to fraction form
    507,087/759,047 = 759,047/x
  3. Step 3: Cross multiply
    507,087x = 759,047 × 759,047
  4. Step 4: Simplify right side
    507,087x = 576,152,348,209
  5. Step 5: Solve for x
    x = 576,152,348,209/507,087
  6. Step 6: Final answer
    x = 1,136,200.19

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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.