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Finding the Third Proportional to 501,930 and 715,486.50

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Solution

The third proportional to 501,930 and 715,486.50 is: 1,019,905.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,930 : 715,486.50 = 715,486.50 : x
  2. Step 2: Convert to fraction form
    501,930/715,486.50 = 715,486.50/x
  3. Step 3: Cross multiply
    501,930x = 715,486.50 × 715,486.50
  4. Step 4: Simplify right side
    501,930x = 511,920,931,682.25
  5. Step 5: Solve for x
    x = 511,920,931,682.25/501,930
  6. Step 6: Final answer
    x = 1,019,905.03

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.