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Finding the Third Proportional to 307,125 and 473,809.50

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Solution

The third proportional to 307,125 and 473,809.50 is: 730,957.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,125 : 473,809.50 = 473,809.50 : x
  2. Step 2: Convert to fraction form
    307,125/473,809.50 = 473,809.50/x
  3. Step 3: Cross multiply
    307,125x = 473,809.50 × 473,809.50
  4. Step 4: Simplify right side
    307,125x = 224,495,442,290.25
  5. Step 5: Solve for x
    x = 224,495,442,290.25/307,125
  6. Step 6: Final answer
    x = 730,957.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.