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Finding the Third Proportional to 482,312 and 709,526

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Solution

The third proportional to 482,312 and 709,526 is: 1,043,779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,312 : 709,526 = 709,526 : x
  2. Step 2: Convert to fraction form
    482,312/709,526 = 709,526/x
  3. Step 3: Cross multiply
    482,312x = 709,526 × 709,526
  4. Step 4: Simplify right side
    482,312x = 503,427,144,676
  5. Step 5: Solve for x
    x = 503,427,144,676/482,312
  6. Step 6: Final answer
    x = 1,043,779.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.