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Finding the Third Proportional to 350,172 and 509,952

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Solution

The third proportional to 350,172 and 509,952 is: 742,638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,172 : 509,952 = 509,952 : x
  2. Step 2: Convert to fraction form
    350,172/509,952 = 509,952/x
  3. Step 3: Cross multiply
    350,172x = 509,952 × 509,952
  4. Step 4: Simplify right side
    350,172x = 260,051,042,304
  5. Step 5: Solve for x
    x = 260,051,042,304/350,172
  6. Step 6: Final answer
    x = 742,638.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.