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Finding the Third Proportional to 527,430 and 787,666.50

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Solution

The third proportional to 527,430 and 787,666.50 is: 1,176,304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,430 : 787,666.50 = 787,666.50 : x
  2. Step 2: Convert to fraction form
    527,430/787,666.50 = 787,666.50/x
  3. Step 3: Cross multiply
    527,430x = 787,666.50 × 787,666.50
  4. Step 4: Simplify right side
    527,430x = 620,418,515,222.25
  5. Step 5: Solve for x
    x = 620,418,515,222.25/527,430
  6. Step 6: Final answer
    x = 1,176,304.94

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