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Finding the Third Proportional to 320,490 and 692,374.50

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Solution

The third proportional to 320,490 and 692,374.50 is: 1,495,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,490 : 692,374.50 = 692,374.50 : x
  2. Step 2: Convert to fraction form
    320,490/692,374.50 = 692,374.50/x
  3. Step 3: Cross multiply
    320,490x = 692,374.50 × 692,374.50
  4. Step 4: Simplify right side
    320,490x = 479,382,448,250.25
  5. Step 5: Solve for x
    x = 479,382,448,250.25/320,490
  6. Step 6: Final answer
    x = 1,495,779.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.