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Finding the Third Proportional to 343,407 and 525,316.50

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Solution

The third proportional to 343,407 and 525,316.50 is: 803,587.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,407 : 525,316.50 = 525,316.50 : x
  2. Step 2: Convert to fraction form
    343,407/525,316.50 = 525,316.50/x
  3. Step 3: Cross multiply
    343,407x = 525,316.50 × 525,316.50
  4. Step 4: Simplify right side
    343,407x = 275,957,425,172.25
  5. Step 5: Solve for x
    x = 275,957,425,172.25/343,407
  6. Step 6: Final answer
    x = 803,587.07

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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.