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Finding the Third Proportional to 262,088 and 358,646

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Solution

The third proportional to 262,088 and 358,646 is: 490,777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,088 : 358,646 = 358,646 : x
  2. Step 2: Convert to fraction form
    262,088/358,646 = 358,646/x
  3. Step 3: Cross multiply
    262,088x = 358,646 × 358,646
  4. Step 4: Simplify right side
    262,088x = 128,626,953,316
  5. Step 5: Solve for x
    x = 128,626,953,316/262,088
  6. Step 6: Final answer
    x = 490,777.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.