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Finding the Third Proportional to 709,203 and 1,064,532

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Solution

The third proportional to 709,203 and 1,064,532 is: 1,597,890.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,203 : 1,064,532 = 1,064,532 : x
  2. Step 2: Convert to fraction form
    709,203/1,064,532 = 1,064,532/x
  3. Step 3: Cross multiply
    709,203x = 1,064,532 × 1,064,532
  4. Step 4: Simplify right side
    709,203x = 1,133,228,379,024
  5. Step 5: Solve for x
    x = 1,133,228,379,024/709,203
  6. Step 6: Final answer
    x = 1,597,890.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.