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Finding the Third Proportional to 306,030 and 459,045

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Solution

The third proportional to 306,030 and 459,045 is: 688,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,030 : 459,045 = 459,045 : x
  2. Step 2: Convert to fraction form
    306,030/459,045 = 459,045/x
  3. Step 3: Cross multiply
    306,030x = 459,045 × 459,045
  4. Step 4: Simplify right side
    306,030x = 210,722,312,025
  5. Step 5: Solve for x
    x = 210,722,312,025/306,030
  6. Step 6: Final answer
    x = 688,567.50

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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.