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Finding the Third Proportional to 309,748 and 455,550

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Solution

The third proportional to 309,748 and 455,550 is: 669,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,748 : 455,550 = 455,550 : x
  2. Step 2: Convert to fraction form
    309,748/455,550 = 455,550/x
  3. Step 3: Cross multiply
    309,748x = 455,550 × 455,550
  4. Step 4: Simplify right side
    309,748x = 207,525,802,500
  5. Step 5: Solve for x
    x = 207,525,802,500/309,748
  6. Step 6: Final answer
    x = 669,982.70

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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.