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Finding the Third Proportional to 294,587 and 460,837.50

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Solution

The third proportional to 294,587 and 460,837.50 is: 720,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,587 : 460,837.50 = 460,837.50 : x
  2. Step 2: Convert to fraction form
    294,587/460,837.50 = 460,837.50/x
  3. Step 3: Cross multiply
    294,587x = 460,837.50 × 460,837.50
  4. Step 4: Simplify right side
    294,587x = 212,371,201,406.25
  5. Step 5: Solve for x
    x = 212,371,201,406.25/294,587
  6. Step 6: Final answer
    x = 720,911.65

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.