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Finding the Third Proportional to 346,308.75 and 553,225.50

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Solution

The third proportional to 346,308.75 and 553,225.50 is: 883,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,308.75 : 553,225.50 = 553,225.50 : x
  2. Step 2: Convert to fraction form
    346,308.75/553,225.50 = 553,225.50/x
  3. Step 3: Cross multiply
    346,308.75x = 553,225.50 × 553,225.50
  4. Step 4: Simplify right side
    346,308.75x = 306,058,453,850.25
  5. Step 5: Solve for x
    x = 306,058,453,850.25/346,308.75
  6. Step 6: Final answer
    x = 883,773.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.