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Finding the Third Proportional to 525,376 and 832,047

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Solution

The third proportional to 525,376 and 832,047 is: 1,317,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,376 : 832,047 = 832,047 : x
  2. Step 2: Convert to fraction form
    525,376/832,047 = 832,047/x
  3. Step 3: Cross multiply
    525,376x = 832,047 × 832,047
  4. Step 4: Simplify right side
    525,376x = 692,302,210,209
  5. Step 5: Solve for x
    x = 692,302,210,209/525,376
  6. Step 6: Final answer
    x = 1,317,727.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.