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Finding the Third Proportional to 509,347.50 and 689,283

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Solution

The third proportional to 509,347.50 and 689,283 is: 932,783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,347.50 : 689,283 = 689,283 : x
  2. Step 2: Convert to fraction form
    509,347.50/689,283 = 689,283/x
  3. Step 3: Cross multiply
    509,347.50x = 689,283 × 689,283
  4. Step 4: Simplify right side
    509,347.50x = 475,111,054,089
  5. Step 5: Solve for x
    x = 475,111,054,089/509,347.50
  6. Step 6: Final answer
    x = 932,783.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.