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Finding the Third Proportional to 309,762 and 455,570

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Solution

The third proportional to 309,762 and 455,570 is: 670,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,762 : 455,570 = 455,570 : x
  2. Step 2: Convert to fraction form
    309,762/455,570 = 455,570/x
  3. Step 3: Cross multiply
    309,762x = 455,570 × 455,570
  4. Step 4: Simplify right side
    309,762x = 207,544,024,900
  5. Step 5: Solve for x
    x = 207,544,024,900/309,762
  6. Step 6: Final answer
    x = 670,011.25

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