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Finding the Third Proportional to 510,411.94 and 783,461.81

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Solution

The third proportional to 510,411.94 and 783,461.81 is: 1,202,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,411.94 : 783,461.81 = 783,461.81 : x
  2. Step 2: Convert to fraction form
    510,411.94/783,461.81 = 783,461.81/x
  3. Step 3: Cross multiply
    510,411.94x = 783,461.81 × 783,461.81
  4. Step 4: Simplify right side
    510,411.94x = 613,812,411,645.79
  5. Step 5: Solve for x
    x = 613,812,411,645.79/510,411.94
  6. Step 6: Final answer
    x = 1,202,582.40

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.