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Finding the Third Proportional to 437,437.13 and 714,295.13

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Solution

The third proportional to 437,437.13 and 714,295.13 is: 1,166,379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,437.13 : 714,295.13 = 714,295.13 : x
  2. Step 2: Convert to fraction form
    437,437.13/714,295.13 = 714,295.13/x
  3. Step 3: Cross multiply
    437,437.13x = 714,295.13 × 714,295.13
  4. Step 4: Simplify right side
    437,437.13x = 510,217,525,598.77
  5. Step 5: Solve for x
    x = 510,217,525,598.77/437,437.13
  6. Step 6: Final answer
    x = 1,166,379.11

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.