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Finding the Third Proportional to 429,312 and 932,430

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Solution

The third proportional to 429,312 and 932,430 is: 2,025,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,312 : 932,430 = 932,430 : x
  2. Step 2: Convert to fraction form
    429,312/932,430 = 932,430/x
  3. Step 3: Cross multiply
    429,312x = 932,430 × 932,430
  4. Step 4: Simplify right side
    429,312x = 869,425,704,900
  5. Step 5: Solve for x
    x = 869,425,704,900/429,312
  6. Step 6: Final answer
    x = 2,025,160.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.