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Finding the Third Proportional to 306,032.63 and 459,048.94

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Solution

The third proportional to 306,032.63 and 459,048.94 is: 688,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,032.63 : 459,048.94 = 459,048.94 : x
  2. Step 2: Convert to fraction form
    306,032.63/459,048.94 = 459,048.94/x
  3. Step 3: Cross multiply
    306,032.63x = 459,048.94 × 459,048.94
  4. Step 4: Simplify right side
    306,032.63x = 210,725,927,019.88
  5. Step 5: Solve for x
    x = 210,725,927,019.88/306,032.63
  6. Step 6: Final answer
    x = 688,573.41

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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.