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Finding the Third Proportional to 335,352 and 507,363

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Solution

The third proportional to 335,352 and 507,363 is: 767,603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,352 : 507,363 = 507,363 : x
  2. Step 2: Convert to fraction form
    335,352/507,363 = 507,363/x
  3. Step 3: Cross multiply
    335,352x = 507,363 × 507,363
  4. Step 4: Simplify right side
    335,352x = 257,417,213,769
  5. Step 5: Solve for x
    x = 257,417,213,769/335,352
  6. Step 6: Final answer
    x = 767,603.04

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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.