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Finding the Third Proportional to 343,437 and 525,352.50

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Solution

The third proportional to 343,437 and 525,352.50 is: 803,627.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,437 : 525,352.50 = 525,352.50 : x
  2. Step 2: Convert to fraction form
    343,437/525,352.50 = 525,352.50/x
  3. Step 3: Cross multiply
    343,437x = 525,352.50 × 525,352.50
  4. Step 4: Simplify right side
    343,437x = 275,995,249,256.25
  5. Step 5: Solve for x
    x = 275,995,249,256.25/343,437
  6. Step 6: Final answer
    x = 803,627.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.