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Finding the Third Proportional to 719,458.50 and 1,039,409

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Solution

The third proportional to 719,458.50 and 1,039,409 is: 1,501,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,458.50 : 1,039,409 = 1,039,409 : x
  2. Step 2: Convert to fraction form
    719,458.50/1,039,409 = 1,039,409/x
  3. Step 3: Cross multiply
    719,458.50x = 1,039,409 × 1,039,409
  4. Step 4: Simplify right side
    719,458.50x = 1,080,371,069,281
  5. Step 5: Solve for x
    x = 1,080,371,069,281/719,458.50
  6. Step 6: Final answer
    x = 1,501,644.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.