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Finding the Third Proportional to 554,854 and 832,283

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Solution

The third proportional to 554,854 and 832,283 is: 1,248,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,854 : 832,283 = 832,283 : x
  2. Step 2: Convert to fraction form
    554,854/832,283 = 832,283/x
  3. Step 3: Cross multiply
    554,854x = 832,283 × 832,283
  4. Step 4: Simplify right side
    554,854x = 692,694,992,089
  5. Step 5: Solve for x
    x = 692,694,992,089/554,854
  6. Step 6: Final answer
    x = 1,248,427.50

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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.