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Finding the Third Proportional to 328,125 and 514,060.50

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Solution

The third proportional to 328,125 and 514,060.50 is: 805,358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,125 : 514,060.50 = 514,060.50 : x
  2. Step 2: Convert to fraction form
    328,125/514,060.50 = 514,060.50/x
  3. Step 3: Cross multiply
    328,125x = 514,060.50 × 514,060.50
  4. Step 4: Simplify right side
    328,125x = 264,258,197,660.25
  5. Step 5: Solve for x
    x = 264,258,197,660.25/328,125
  6. Step 6: Final answer
    x = 805,358.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.