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Finding the Third Proportional to 402,293.50 and 607,541

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Solution

The third proportional to 402,293.50 and 607,541 is: 917,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,293.50 : 607,541 = 607,541 : x
  2. Step 2: Convert to fraction form
    402,293.50/607,541 = 607,541/x
  3. Step 3: Cross multiply
    402,293.50x = 607,541 × 607,541
  4. Step 4: Simplify right side
    402,293.50x = 369,106,066,681
  5. Step 5: Solve for x
    x = 369,106,066,681/402,293.50
  6. Step 6: Final answer
    x = 917,504.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.