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Finding the Third Proportional to 314,575 and 500,365

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Solution

The third proportional to 314,575 and 500,365 is: 795,883.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,575 : 500,365 = 500,365 : x
  2. Step 2: Convert to fraction form
    314,575/500,365 = 500,365/x
  3. Step 3: Cross multiply
    314,575x = 500,365 × 500,365
  4. Step 4: Simplify right side
    314,575x = 250,365,133,225
  5. Step 5: Solve for x
    x = 250,365,133,225/314,575
  6. Step 6: Final answer
    x = 795,883.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.