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Finding the Third Proportional to 309,764 and 455,574

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Solution

The third proportional to 309,764 and 455,574 is: 670,018.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,764 : 455,574 = 455,574 : x
  2. Step 2: Convert to fraction form
    309,764/455,574 = 455,574/x
  3. Step 3: Cross multiply
    309,764x = 455,574 × 455,574
  4. Step 4: Simplify right side
    309,764x = 207,547,669,476
  5. Step 5: Solve for x
    x = 207,547,669,476/309,764
  6. Step 6: Final answer
    x = 670,018.69

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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.