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Finding the Third Proportional to 429,931.50 and 933,490.50

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Solution

The third proportional to 429,931.50 and 933,490.50 is: 2,026,845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,931.50 : 933,490.50 = 933,490.50 : x
  2. Step 2: Convert to fraction form
    429,931.50/933,490.50 = 933,490.50/x
  3. Step 3: Cross multiply
    429,931.50x = 933,490.50 × 933,490.50
  4. Step 4: Simplify right side
    429,931.50x = 871,404,513,590.25
  5. Step 5: Solve for x
    x = 871,404,513,590.25/429,931.50
  6. Step 6: Final answer
    x = 2,026,845.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.