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Finding the Third Proportional to 295,300.69 and 458,124.19

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Solution

The third proportional to 295,300.69 and 458,124.19 is: 710,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,300.69 : 458,124.19 = 458,124.19 : x
  2. Step 2: Convert to fraction form
    295,300.69/458,124.19 = 458,124.19/x
  3. Step 3: Cross multiply
    295,300.69x = 458,124.19 × 458,124.19
  4. Step 4: Simplify right side
    295,300.69x = 209,877,771,172.54
  5. Step 5: Solve for x
    x = 209,877,771,172.54/295,300.69
  6. Step 6: Final answer
    x = 710,725.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.