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Finding the Third Proportional to 340,104 and 499,776

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Solution

The third proportional to 340,104 and 499,776 is: 734,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,104 : 499,776 = 499,776 : x
  2. Step 2: Convert to fraction form
    340,104/499,776 = 499,776/x
  3. Step 3: Cross multiply
    340,104x = 499,776 × 499,776
  4. Step 4: Simplify right side
    340,104x = 249,776,050,176
  5. Step 5: Solve for x
    x = 249,776,050,176/340,104
  6. Step 6: Final answer
    x = 734,410.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.