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Finding the Third Proportional to 583,136.72 and 870,208.31

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Solution

The third proportional to 583,136.72 and 870,208.31 is: 1,298,602.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,136.72 : 870,208.31 = 870,208.31 : x
  2. Step 2: Convert to fraction form
    583,136.72/870,208.31 = 870,208.31/x
  3. Step 3: Cross multiply
    583,136.72x = 870,208.31 × 870,208.31
  4. Step 4: Simplify right side
    583,136.72x = 757,262,507,144.10
  5. Step 5: Solve for x
    x = 757,262,507,144.10/583,136.72
  6. Step 6: Final answer
    x = 1,298,602.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.