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Finding the Third Proportional to 554,894 and 832,416

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Solution

The third proportional to 554,894 and 832,416 is: 1,248,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,894 : 832,416 = 832,416 : x
  2. Step 2: Convert to fraction form
    554,894/832,416 = 832,416/x
  3. Step 3: Cross multiply
    554,894x = 832,416 × 832,416
  4. Step 4: Simplify right side
    554,894x = 692,916,397,056
  5. Step 5: Solve for x
    x = 692,916,397,056/554,894
  6. Step 6: Final answer
    x = 1,248,736.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.