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Finding the Third Proportional to 430,152 and 660,084

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Solution

The third proportional to 430,152 and 660,084 is: 1,012,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,152 : 660,084 = 660,084 : x
  2. Step 2: Convert to fraction form
    430,152/660,084 = 660,084/x
  3. Step 3: Cross multiply
    430,152x = 660,084 × 660,084
  4. Step 4: Simplify right side
    430,152x = 435,710,887,056
  5. Step 5: Solve for x
    x = 435,710,887,056/430,152
  6. Step 6: Final answer
    x = 1,012,923.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.