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Finding the Third Proportional to 314,095.50 and 500,281.50

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Solution

The third proportional to 314,095.50 and 500,281.50 is: 796,832.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,095.50 : 500,281.50 = 500,281.50 : x
  2. Step 2: Convert to fraction form
    314,095.50/500,281.50 = 500,281.50/x
  3. Step 3: Cross multiply
    314,095.50x = 500,281.50 × 500,281.50
  4. Step 4: Simplify right side
    314,095.50x = 250,281,579,242.25
  5. Step 5: Solve for x
    x = 250,281,579,242.25/314,095.50
  6. Step 6: Final answer
    x = 796,832.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.