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Finding the Third Proportional to 266,688 and 583,191

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Solution

The third proportional to 266,688 and 583,191 is: 1,275,317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,688 : 583,191 = 583,191 : x
  2. Step 2: Convert to fraction form
    266,688/583,191 = 583,191/x
  3. Step 3: Cross multiply
    266,688x = 583,191 × 583,191
  4. Step 4: Simplify right side
    266,688x = 340,111,742,481
  5. Step 5: Solve for x
    x = 340,111,742,481/266,688
  6. Step 6: Final answer
    x = 1,275,317.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.