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Finding the Third Proportional to 365,049 and 562,585.50

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Solution

The third proportional to 365,049 and 562,585.50 is: 867,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,049 : 562,585.50 = 562,585.50 : x
  2. Step 2: Convert to fraction form
    365,049/562,585.50 = 562,585.50/x
  3. Step 3: Cross multiply
    365,049x = 562,585.50 × 562,585.50
  4. Step 4: Simplify right side
    365,049x = 316,502,444,810.25
  5. Step 5: Solve for x
    x = 316,502,444,810.25/365,049
  6. Step 6: Final answer
    x = 867,013.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.