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Finding the Third Proportional to 292,209 and 702,030.75

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Solution

The third proportional to 292,209 and 702,030.75 is: 1,686,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,209 : 702,030.75 = 702,030.75 : x
  2. Step 2: Convert to fraction form
    292,209/702,030.75 = 702,030.75/x
  3. Step 3: Cross multiply
    292,209x = 702,030.75 × 702,030.75
  4. Step 4: Simplify right side
    292,209x = 492,847,173,945.56
  5. Step 5: Solve for x
    x = 492,847,173,945.56/292,209
  6. Step 6: Final answer
    x = 1,686,625.58

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.