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Finding the Third Proportional to 286,088 and 452,913

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Solution

The third proportional to 286,088 and 452,913 is: 717,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,088 : 452,913 = 452,913 : x
  2. Step 2: Convert to fraction form
    286,088/452,913 = 452,913/x
  3. Step 3: Cross multiply
    286,088x = 452,913 × 452,913
  4. Step 4: Simplify right side
    286,088x = 205,130,185,569
  5. Step 5: Solve for x
    x = 205,130,185,569/286,088
  6. Step 6: Final answer
    x = 717,017.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.