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Finding the Third Proportional to 526,390 and 786,076

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Solution

The third proportional to 526,390 and 786,076 is: 1,173,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,390 : 786,076 = 786,076 : x
  2. Step 2: Convert to fraction form
    526,390/786,076 = 786,076/x
  3. Step 3: Cross multiply
    526,390x = 786,076 × 786,076
  4. Step 4: Simplify right side
    526,390x = 617,915,477,776
  5. Step 5: Solve for x
    x = 617,915,477,776/526,390
  6. Step 6: Final answer
    x = 1,173,873.89

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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.