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Finding the Third Proportional to 507,460.88 and 713,985

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Solution

The third proportional to 507,460.88 and 713,985 is: 1,004,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,460.88 : 713,985 = 713,985 : x
  2. Step 2: Convert to fraction form
    507,460.88/713,985 = 713,985/x
  3. Step 3: Cross multiply
    507,460.88x = 713,985 × 713,985
  4. Step 4: Simplify right side
    507,460.88x = 509,774,580,225
  5. Step 5: Solve for x
    x = 509,774,580,225/507,460.88
  6. Step 6: Final answer
    x = 1,004,559.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.