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Finding the Third Proportional to 509,670 and 712,930.50

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Solution

The third proportional to 509,670 and 712,930.50 is: 997,252.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,670 : 712,930.50 = 712,930.50 : x
  2. Step 2: Convert to fraction form
    509,670/712,930.50 = 712,930.50/x
  3. Step 3: Cross multiply
    509,670x = 712,930.50 × 712,930.50
  4. Step 4: Simplify right side
    509,670x = 508,269,897,830.25
  5. Step 5: Solve for x
    x = 508,269,897,830.25/509,670
  6. Step 6: Final answer
    x = 997,252.92

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.