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Finding the Third Proportional to 475,726.50 and 709,897.50

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Solution

The third proportional to 475,726.50 and 709,897.50 is: 1,059,336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,726.50 : 709,897.50 = 709,897.50 : x
  2. Step 2: Convert to fraction form
    475,726.50/709,897.50 = 709,897.50/x
  3. Step 3: Cross multiply
    475,726.50x = 709,897.50 × 709,897.50
  4. Step 4: Simplify right side
    475,726.50x = 503,954,460,506.25
  5. Step 5: Solve for x
    x = 503,954,460,506.25/475,726.50
  6. Step 6: Final answer
    x = 1,059,336.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.