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Finding the Third Proportional to 292,207.50 and 466,798.50

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Solution

The third proportional to 292,207.50 and 466,798.50 is: 745,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,207.50 : 466,798.50 = 466,798.50 : x
  2. Step 2: Convert to fraction form
    292,207.50/466,798.50 = 466,798.50/x
  3. Step 3: Cross multiply
    292,207.50x = 466,798.50 × 466,798.50
  4. Step 4: Simplify right side
    292,207.50x = 217,900,839,602.25
  5. Step 5: Solve for x
    x = 217,900,839,602.25/292,207.50
  6. Step 6: Final answer
    x = 745,705.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.