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Finding the Third Proportional to 295,430.63 and 430,228.69

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Solution

The third proportional to 295,430.63 and 430,228.69 is: 626,531.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,430.63 : 430,228.69 = 430,228.69 : x
  2. Step 2: Convert to fraction form
    295,430.63/430,228.69 = 430,228.69/x
  3. Step 3: Cross multiply
    295,430.63x = 430,228.69 × 430,228.69
  4. Step 4: Simplify right side
    295,430.63x = 185,096,723,547.97
  5. Step 5: Solve for x
    x = 185,096,723,547.97/295,430.63
  6. Step 6: Final answer
    x = 626,531.94

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.